TSTP Solution File: KRS189+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS189+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:39:43 EDT 2022
% Result : Theorem 1.29s 1.46s
% Output : Proof 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS189+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 18:04:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.29/1.46 (* PROOF-FOUND *)
% 1.29/1.46 % SZS status Theorem
% 1.29/1.46 (* BEGIN-PROOF *)
% 1.29/1.46 % SZS output start Proof
% 1.29/1.46 Theorem isa_eth_thm : (isa (eth) (thm)).
% 1.29/1.46 Proof.
% 1.29/1.46 assert (zenon_L1_ : forall (zenon_TC_bm : zenon_U) (zenon_TAx_bn : zenon_U), (~((exists I2 : zenon_U, (model I2 zenon_TAx_bn))/\(forall I2 : zenon_U, ((model I2 zenon_TAx_bn)<->(model I2 zenon_TC_bm))))) -> (status zenon_TAx_bn zenon_TC_bm (eth)) -> (forall C : zenon_U, (((exists I2 : zenon_U, (model I2 zenon_TAx_bn))/\((exists I2 : zenon_U, (~(model I2 zenon_TAx_bn)))/\(forall I2 : zenon_U, ((model I2 zenon_TAx_bn)<->(model I2 C)))))<->(status zenon_TAx_bn C (eth)))) -> (exists I2 : zenon_U, (model I2 zenon_TAx_bn)) -> False).
% 1.29/1.46 do 2 intro. intros zenon_H22 zenon_H23 zenon_H24 zenon_H25.
% 1.29/1.46 apply (zenon_notand_s _ _ zenon_H22); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 1.29/1.46 exact (zenon_H29 zenon_H25).
% 1.29/1.46 generalize (zenon_H24 zenon_TC_bm). zenon_intro zenon_H2a.
% 1.29/1.46 apply (zenon_equiv_s _ _ zenon_H2a); [ zenon_intro zenon_H2d; zenon_intro zenon_H2c | zenon_intro zenon_H2b; zenon_intro zenon_H23 ].
% 1.29/1.46 exact (zenon_H2c zenon_H23).
% 1.29/1.46 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H25. zenon_intro zenon_H2e.
% 1.29/1.46 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 1.29/1.46 exact (zenon_H28 zenon_H2f).
% 1.29/1.46 (* end of lemma zenon_L1_ *)
% 1.29/1.46 assert (zenon_L2_ : forall (zenon_TI1_ca : zenon_U) (zenon_TC_bm : zenon_U) (zenon_TAx_bn : zenon_U), ((exists I2 : zenon_U, (model I2 zenon_TAx_bn))/\(forall I2 : zenon_U, ((model I2 zenon_TAx_bn)<->(model I2 zenon_TC_bm)))) -> (~(model zenon_TI1_ca zenon_TC_bm)) -> (model zenon_TI1_ca zenon_TAx_bn) -> False).
% 1.29/1.46 do 3 intro. intros zenon_H31 zenon_H32 zenon_H33.
% 1.29/1.46 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H25. zenon_intro zenon_H2f.
% 1.29/1.46 generalize (zenon_H2f zenon_TI1_ca). zenon_intro zenon_H35.
% 1.29/1.46 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H37; zenon_intro zenon_H32 | zenon_intro zenon_H33; zenon_intro zenon_H36 ].
% 1.29/1.46 exact (zenon_H37 zenon_H33).
% 1.29/1.46 exact (zenon_H32 zenon_H36).
% 1.29/1.46 (* end of lemma zenon_L2_ *)
% 1.29/1.46 assert (zenon_L3_ : forall (zenon_TI1_ca : zenon_U) (zenon_TC_bm : zenon_U) (zenon_TAx_bn : zenon_U), (forall C : zenon_U, (((exists I2 : zenon_U, (model I2 zenon_TAx_bn))/\(forall I2 : zenon_U, ((model I2 zenon_TAx_bn)<->(model I2 C))))<->(status zenon_TAx_bn C (eqv)))) -> (status zenon_TAx_bn zenon_TC_bm (eth)) -> (forall C : zenon_U, (((exists I2 : zenon_U, (model I2 zenon_TAx_bn))/\((exists I2 : zenon_U, (~(model I2 zenon_TAx_bn)))/\(forall I2 : zenon_U, ((model I2 zenon_TAx_bn)<->(model I2 C)))))<->(status zenon_TAx_bn C (eth)))) -> (exists I2 : zenon_U, (model I2 zenon_TAx_bn)) -> (~(model zenon_TI1_ca zenon_TC_bm)) -> (model zenon_TI1_ca zenon_TAx_bn) -> False).
% 1.29/1.46 do 3 intro. intros zenon_H38 zenon_H23 zenon_H24 zenon_H25 zenon_H32 zenon_H33.
% 1.29/1.46 generalize (zenon_H38 zenon_TC_bm). zenon_intro zenon_H39.
% 1.29/1.46 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H22; zenon_intro zenon_H3b | zenon_intro zenon_H31; zenon_intro zenon_H3a ].
% 1.29/1.46 apply (zenon_L1_ zenon_TC_bm zenon_TAx_bn); trivial.
% 1.29/1.46 apply (zenon_L2_ zenon_TI1_ca zenon_TC_bm zenon_TAx_bn); trivial.
% 1.29/1.46 (* end of lemma zenon_L3_ *)
% 1.29/1.46 assert (zenon_L4_ : forall (zenon_TC_bm : zenon_U) (zenon_TAx_bn : zenon_U) (zenon_TI1_ca : zenon_U), (model zenon_TI1_ca zenon_TAx_bn) -> (~(model zenon_TI1_ca zenon_TC_bm)) -> (exists I2 : zenon_U, (model I2 zenon_TAx_bn)) -> (status zenon_TAx_bn zenon_TC_bm (eth)) -> (forall C : zenon_U, (((exists I2 : zenon_U, (model I2 zenon_TAx_bn))/\(forall I2 : zenon_U, ((model I2 zenon_TAx_bn)<->(model I2 C))))<->(status zenon_TAx_bn C (eqv)))) -> False).
% 1.29/1.46 do 3 intro. intros zenon_H33 zenon_H32 zenon_H25 zenon_H23 zenon_H38.
% 1.29/1.46 generalize (eth zenon_TAx_bn). zenon_intro zenon_H24.
% 1.29/1.46 apply (zenon_L3_ zenon_TI1_ca zenon_TC_bm zenon_TAx_bn); trivial.
% 1.29/1.46 (* end of lemma zenon_L4_ *)
% 1.29/1.46 apply NNPP. intro zenon_G.
% 1.29/1.46 generalize (isa (eth)). zenon_intro zenon_H3c.
% 1.29/1.46 generalize (zenon_H3c (thm)). zenon_intro zenon_H3d.
% 1.29/1.46 apply (zenon_equiv_s _ _ zenon_H3d); [ zenon_intro zenon_H40; zenon_intro zenon_G | zenon_intro zenon_H3f; zenon_intro zenon_H3e ].
% 1.29/1.46 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (eth))->(status Ax C (thm))))) zenon_H40); [ zenon_intro zenon_H41; idtac ].
% 1.29/1.46 elim zenon_H41. zenon_intro zenon_TAx_bn. zenon_intro zenon_H42.
% 1.29/1.46 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bn C (eth))->(status zenon_TAx_bn C (thm)))) zenon_H42); [ zenon_intro zenon_H43; idtac ].
% 1.29/1.46 elim zenon_H43. zenon_intro zenon_TC_bm. zenon_intro zenon_H44.
% 1.29/1.46 apply (zenon_notimply_s _ _ zenon_H44). zenon_intro zenon_H23. zenon_intro zenon_H45.
% 1.29/1.46 generalize (thm zenon_TAx_bn). zenon_intro zenon_H46.
% 1.29/1.46 generalize (zenon_H46 zenon_TC_bm). zenon_intro zenon_H47.
% 1.29/1.46 apply (zenon_equiv_s _ _ zenon_H47); [ zenon_intro zenon_H4a; zenon_intro zenon_H45 | zenon_intro zenon_H49; zenon_intro zenon_H48 ].
% 1.29/1.46 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bn)->(model I1 zenon_TC_bm))) zenon_H4a); [ zenon_intro zenon_H4b; idtac ].
% 1.29/1.46 elim zenon_H4b. zenon_intro zenon_TI1_ca. zenon_intro zenon_H4c.
% 1.29/1.46 apply (zenon_notimply_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 1.29/1.46 generalize (eqv zenon_TAx_bn). zenon_intro zenon_H38.
% 1.29/1.46 generalize (cax zenon_TAx_bn). zenon_intro zenon_H0.
% 1.29/1.46 generalize (zenon_H0 zenon_E). zenon_intro zenon_H4d.
% 1.29/1.46 apply (zenon_equiv_s _ _ zenon_H4d); [ zenon_intro zenon_H50; zenon_intro zenon_H4f | zenon_intro zenon_H29; zenon_intro zenon_H4e ].
% 1.29/1.46 apply zenon_H50. zenon_intro zenon_H25.
% 1.29/1.46 apply (zenon_L4_ zenon_TC_bm zenon_TAx_bn zenon_TI1_ca); trivial.
% 1.29/1.46 apply zenon_H29. exists zenon_TI1_ca. apply NNPP. zenon_intro zenon_H37.
% 1.29/1.46 exact (zenon_H37 zenon_H33).
% 1.29/1.46 exact (zenon_H45 zenon_H48).
% 1.29/1.46 exact (zenon_G zenon_H3e).
% 1.29/1.46 Qed.
% 1.29/1.46 % SZS output end Proof
% 1.29/1.46 (* END-PROOF *)
% 1.29/1.46 nodes searched: 63856
% 1.29/1.46 max branch formulas: 4439
% 1.29/1.46 proof nodes created: 4156
% 1.29/1.46 formulas created: 191945
% 1.29/1.46
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